a = 6
b = ?
c = 10
c2-a2=b2
b = √(c^2 - a^2)
b = √(10^2 - 6^2)
b = √(100 - 36)
b = √64
b = 8
To find the value of b, we can use the equation c^2 - a^2 = b^2 and substitute the given values of a and c.
Given:
a = 6
c = 10
Substituting these values into the equation, we get:
c^2 - a^2 = b^2
10^2 - 6^2 = b^2
100 - 36 = b^2
64 = b^2
To solve for b, we need to take the square root of both sides:
√(64) = √(b^2)
8 = b
Therefore, the value of b is 8.
To find the value of variable "b," given that a = 6 and c = 10 in the equation c^2 - a^2 = b^2, we can follow these steps:
Step 1: Substitute the values of a and c into the equation.
c^2 - a^2 = b^2
10^2 - 6^2 = b^2
Step 2: Calculate the square of c and a.
100 - 36 = b^2
Step 3: Subtract 36 from 100.
64 = b^2
Step 4: Take the square root of both sides of the equation to solve for b.
√(64) = √(b^2)
Step 5: Simplify the square root of 64.
8 = |b|
Step 6: Since we're looking for the value of b, considering both positive and negative values, the solution for b can be either 8 or -8.
Therefore, the value of b can be 8 or -8.